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Finding the Third Proportional to 52,784.31 and 109,936.88

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Solution

The third proportional to 52,784.31 and 109,936.88 is: 228,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,784.31 : 109,936.88 = 109,936.88 : x
  2. Step 2: Convert to fraction form
    52,784.31/109,936.88 = 109,936.88/x
  3. Step 3: Cross multiply
    52,784.31x = 109,936.88 × 109,936.88
  4. Step 4: Simplify right side
    52,784.31x = 12,086,116,484.77
  5. Step 5: Solve for x
    x = 12,086,116,484.77/52,784.31
  6. Step 6: Final answer
    x = 228,971.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.